Test solutions with the detailed point scale. Add up your points and spot what to review.
1 Conversions / 4 pts
(a) 64 squares, so \( 64\% = 0.64 \). (1 pt)
(b) \( \dfrac{3}{20} = \dfrac{15}{100} = 15\% \). (1 pt)
(c) \( 0.6 = 0.60 = 60\% \). (1 pt)
(d) \( 175\% = 1.75 \). (1 pt)
2 Ordering / 3 pts
Convert to decimals: \( 0.7 \); \( 65\% = 0.65 \); \( \dfrac{2}{3} \approx 0.667 \); \( \dfrac{3}{4} = 0.75 \). (2 pts)
Order: \( 65\% \lt \dfrac{2}{3} \lt 0.7 \lt \dfrac{3}{4} \). (1 pt)
3 Percent of a quantity / 4 pts
(a) \( 0.3 \times 90 = 27 \). (1 pt)
(b) \( 10\% = 14 \) and \( 5\% = 7 \), so \( 21 \). (1 pt)
(c) \( 0.05 \times 62 = 3.1 \). (1 pt)
(d) \( 1.25 \times 48 = 60 \). (1 pt)
4 Finding the whole / 3 pts
(a) \( 40\% \) is 4 of 10 parts. One part is \( 32 \div 4 = 8 \), so the budget is \( 10 \times 8 = 80 \) dollars. (2 pts)
(b) \( 90\% \) is 9 parts, so one part is \( 27 \div 9 = 3 \) and the number is 30. (1 pt)
5 A backpack on sale / 3 pts
(a) \( 0.25 \times 48 = 12 \) dollars. (1 pt)
(b) \( 48 - 12 = 36 \) dollars. (1 pt)
(c) You pay \( 100\% - 25\% = 75\% \). Check: \( \dfrac{36}{48} = 0.75 \). (1 pt)
6 Comparing scores / 3 pts
Kai: \( \dfrac{42}{50} = \dfrac{84}{100} = 84\% \). (1 pt)
Rue: \( 33 \div 40 = 0.825 = 82.5\% \). (1 pt)
\( 84\% \gt 82.5\% \), so Kai earned the greater percent. (1 pt)
